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Finding the Fourth Proportional to 214,517.97, 296,021.88 and 119,018.97

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Solution

The fourth proportional to 214,517.97, 296,021.88 and 119,018.97 is: 164,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,517.97 : 296,021.88 = 119,018.97 : x
  2. Step 2: Convert to fraction form
    214,517.97/296,021.88 = 119,018.97/x
  3. Step 3: Cross multiply
    214,517.97x = 296,021.88 × 119,018.97
  4. Step 4: Simplify right side
    214,517.97x = 35,232,219,255.06
  5. Step 5: Solve for x
    x = 35,232,219,255.06/214,517.97
  6. Step 6: Final answer
    x = 164,239.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.